Elliptic curve search results

Results (11 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
26520.bd1	26520bc1	26520.bd	26520bc	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.146979667$	$1$		$6$	$24192$	$0.796141$	$7767586344704/6060234375$	$0.88798$	$3.18620$	$[0, 1, 0, 1040, -7267]$	\(y^2=x^3+x^2+1040x-7267\)	510.2.0.?	$[(26, 195)]$
53040.z1	53040j1	53040.z	53040j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.545465467$	$1$		$2$	$48384$	$0.796141$	$7767586344704/6060234375$	$0.88798$	$2.98319$	$[0, -1, 0, 1040, 7267]$	\(y^2=x^3-x^2+1040x+7267\)	510.2.0.?	$[(39, 325)]$
79560.o1	79560o1	79560.o	79560o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$193536$	$1.345448$	$7767586344704/6060234375$	$0.88798$	$3.46015$	$[0, 0, 0, 9357, 205567]$	\(y^2=x^3+9357x+205567\)	510.2.0.?	$[ ]$
132600.k1	132600ch1	132600.k	132600ch	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{13} \cdot 13^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$2.344080849$	$1$		$8$	$580608$	$1.600861$	$7767586344704/6060234375$	$0.88798$	$3.57015$	$[0, -1, 0, 25992, -960363]$	\(y^2=x^3-x^2+25992x-960363\)	510.2.0.?	$[(182, 3125), (262, 4875)]$
159120.y1	159120dx1	159120.y	159120dx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$387072$	$1.345448$	$7767586344704/6060234375$	$0.88798$	$3.25991$	$[0, 0, 0, 9357, -205567]$	\(y^2=x^3+9357x-205567\)	510.2.0.?	$[ ]$
212160.bf1	212160ho1	212160.bf	212160ho	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$7.752740879$	$1$		$0$	$387072$	$1.142714$	$7767586344704/6060234375$	$0.88798$	$2.98509$	$[0, -1, 0, 4159, -62295]$	\(y^2=x^3-x^2+4159x-62295\)	510.2.0.?	$[(1824/11, 79833/11)]$
212160.ep1	212160bj1	212160.ep	212160bj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$2.218841519$	$1$		$2$	$387072$	$1.142714$	$7767586344704/6060234375$	$0.88798$	$2.98509$	$[0, 1, 0, 4159, 62295]$	\(y^2=x^3+x^2+4159x+62295\)	510.2.0.?	$[(-14, 39)]$
265200.fw1	265200fw1	265200.fw	265200fw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{13} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.485857482$	$1$		$0$	$1161216$	$1.600861$	$7767586344704/6060234375$	$0.88798$	$3.37199$	$[0, 1, 0, 25992, 960363]$	\(y^2=x^3+x^2+25992x+960363\)	510.2.0.?	$[(2397/2, 121875/2)]$
344760.bp1	344760bp1	344760.bp	344760bp	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$4064256$	$2.078617$	$7767586344704/6060234375$	$0.88798$	$3.75224$	$[0, 1, 0, 175704, -16668495]$	\(y^2=x^3+x^2+175704x-16668495\)	510.2.0.?	$[ ]$
397800.by1	397800by1	397800.by	397800by	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{13} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.649427150$	$1$		$2$	$4644864$	$2.150166$	$7767586344704/6060234375$	$0.88798$	$3.77718$	$[0, 0, 0, 233925, 25695875]$	\(y^2=x^3+233925x+25695875\)	510.2.0.?	$[(190, 8775)]$
450840.f1	450840f1	450840.f	450840f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$4.874705627$	$1$		$2$	$6967296$	$2.212746$	$7767586344704/6060234375$	$0.88798$	$3.79855$	$[0, -1, 0, 300464, -37505735]$	\(y^2=x^3-x^2+300464x-37505735\)	510.2.0.?	$[(240, 6955)]$

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